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Finding the Third Proportional to 637 and 808.50

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Solution

The third proportional to 637 and 808.50 is: 1,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    637 : 808.50 = 808.50 : x
  2. Step 2: Convert to fraction form
    637/808.50 = 808.50/x
  3. Step 3: Cross multiply
    637x = 808.50 × 808.50
  4. Step 4: Simplify right side
    637x = 653,672.25
  5. Step 5: Solve for x
    x = 653,672.25/637
  6. Step 6: Final answer
    x = 1,026.17

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.